Mathematics

In the given figure $$AB || CD$$ and $$CD || EF$$. Also $$EA \perp AB$$. If $$\angle BEF = 55^\circ$$ find the values of $$x, y$$ and $$z$$.


SOLUTION
Extend BE to G.

Now $$\angle GEF = 180^o - 55^o$$    Linear pair
$$= 125^o$$

Also $$\angle GEF = x = y = 125^o$$    Corresponding angles

Now, $$z = 90^o - 55^o$$    Right angle
$$= 35^o$$
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Subjective Medium Published on 09th 09, 2020
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